Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
224301	Write as a Single Logarithm	log base 3 of 4+ log base 3 of y+1/2* log base 3 of 49	$\log_{3} (4) + \log_{3} (y) + \frac{1}{2} \cdot \log_{3} (49)$
224302	Evaluate Using the Given Value	Given c=10 ; the value of the expression 14+(2c)/c is	Given $c = 10$ ; the value of the expression $14 + \frac{2 c}{c}$ is
224303	Expand the Logarithmic Expression	log base 4 of (12*7^2)^4	$\log_{4} ({(12 \cdot 7^{2})}^{4})$
224304	Solve for p	e^(5-2p)+2=4	$e^{5 - 2 p} + 2 = 4$
224305	Find the Degree, Leading Term, and Leading Coefficient	y=-7x^3+3x^2+12x-1	$y = - 7 x^{3} + 3 x^{2} + 12 x - 1$
224306	Divide Using Synthetic Division	-3x^3+11x^2-x+20 by (x-4)	$- 3 x^{3} + 11 x^{2} - x + 20$ by $(x - 4)$
224307	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+10x^2+11x+14 is divided by x+2	Use the long division method to find the result when $4 x^{3} + 10 x^{2} + 11 x + 14$ is divided by $x + 2$
224308	Write the Fraction in Simplest Form	((2u^-5)^-1)/(6b^3)	$\frac{{(2 u^{- 5})}^{- 1}}{6 b^{3}}$
224309	Simplify	1/(x-3)-1/(x+3)-1/(x-1)+1/(x+1)	$\frac{1}{x - 3} - \frac{1}{x + 3} - \frac{1}{x - 1} + \frac{1}{x + 1}$
224310	Find the Degree	arctan(( square root of 3)/3)	$\arctan (\frac{\sqrt{3}}{3})$
224311	Factor by Grouping	64x^4+xy^3	$64 x^{4} + x y^{3}$
224312	Write in Standard Form	1/7-3(3/7n-2/7)	$\frac{1}{7} - 3 (\frac{3}{7} n - \frac{2}{7})$
224313	Simplify	( sixth root of y)/( cube root of y)	$\frac{\sqrt[6]{y}}{\sqrt[3]{y}}$
224314	Simplify	10^0+10	$10^{0} + 10$
224315	Simplify	Simplify - square root of -121a^4b^2	Simplify $- \sqrt{- 121 a^{4} b^{2}}$
224316	Simplify	-2/(pi/2)	$\frac{- 2}{\frac{π}{2}}$
224317	Find f(g(x))	f(x)=x+2 g(x)=x^2	$f (x) = x + 2$ $g (x) = x^{2}$
224318	Simplify the Radical Expression	(5 square root of 63)÷6 square root of 7	$5 \sqrt{63} \div 6 \sqrt{7}$
224319	Solve for x	x^(x^(x^x))=2	$x^{x^{x^{x}}} = 2$
224320	Evaluate	16i^3	$16 i^{3}$
224321	Simplify	15v+8w-9v-6v-2w	$15 v + 8 w - 9 v - 6 v - 2 w$
224322	Evaluate	square root of x-3+ square root of x=3	$\sqrt{x - 3} + \sqrt{x} = 3$
224323	Simplify	square root of x^8y^-6	$\sqrt{x^{8} y^{- 6}}$
224324	Simplify	(3a^-3)(a^4)(2a^2)	$(3 a^{- 3}) (a^{4}) (2 a^{2})$
224325	Solve the Inequality for x	1<(3x)/4	$1 < \frac{3 x}{4}$
224326	Find the Domain and Range	y=-1/2(4)^x	$y = - \frac{1}{2} {(4)}^{x}$
224327	Simplify	6/(a^0)+b^0	$\frac{6}{a^{0}} + b^{0}$
224328	Combine Like Terms	x-5-6x+7	$x - 5 - 6 x + 7$
224329	Evaluate	e^-1+1	$e^{- 1} + 1$
224330	Solve the Inequality for x	2x=10	$2 x = 10$
224331	Simplify	Simplify ((x^2+3x+2)/(x^2-1))÷((x^2+6x)/(x^2-x))	Simplify $\frac{x^{2} + 3 x + 2}{x^{2} - 1} \div \frac{x^{2} + 6 x}{x^{2} - x}$
224332	Simplify	3*2^-2	$3 \cdot 2^{- 2}$
224333	Solve the System of Inequalities	Which inequality represents the compound inequality -1>x or x>5 ?	Which inequality represents the compound inequality $- 1 > x$ or $x > 5$ ?
224334	Solve for x	y=1/2(e^(2x)-e^(-2x))	$y = \frac{1}{2} (e^{2 x} - e^{- 2 x})$
224335	Multiply	2pi4	$2 \cdot π \cdot 4$
224336	Simplify	6+x-1-x	$6 + x - 1 - x$
224337	Simplify	((5x+2)/(3xy^2))÷((10x+4)/(x^2y))	$\frac{5 x + 2}{3 x y^{2}} \div \frac{10 x + 4}{x^{2} y}$
224338	Multiply	2/35/61/2	$\frac{2}{3} \cdot \frac{5}{6} \cdot \frac{1}{2}$
224339	Solve by Substitution	2x-y=0 4x-y=0	$2 x - y = 0$ $4 x - y = 0$
224340	Solve by Substitution	x=-2 x+3y=4	$x = - 2$ $x + 3 y = 4$
224341	Write in Exponential Form	square root of 5^3* fifth root of 5^4	$\sqrt{5^{3}} \cdot \sqrt[5]{5^{4}}$
224342	Find the Exact Value	25^(-1/3)	$25^{- \frac{1}{3}}$
224343	Solve by Factoring	-3x^2-42x-51=-12x	$- 3 x^{2} - 42 x - 51 = - 12 x$
224344	Multiply	5 square root of 3a^3*4 square root of 25a^4	$5 \sqrt{3 a^{3}} \cdot 4 \sqrt{25 a^{4}}$
224345	Simplify	(2 square root of 2)÷4 square root of 3	$2 \sqrt{2} \div 4 \sqrt{3}$
224346	Find the Product	(x^2-x-6)/(4x^3)*(2x^2+2x)/(x^2+5x+6)	$\frac{x^{2} - x - 6}{4 x^{3}} \cdot \frac{2 x^{2} + 2 x}{x^{2} + 5 x + 6}$
224347	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+14x^2+17x+15 is divided by 4x+5	Use the long division method to find the result when $8 x^{3} + 14 x^{2} + 17 x + 15$ is divided by $4 x + 5$
224348	Find the Domain and Range	a(x)=(2x^2-9)/(x^2-9)	$a (x) = \frac{2 x^{2} - 9}{x^{2} - 9}$
224349	Graph	y<=-3/4x+5 3x-2y>4	$y \leq - \frac{3}{4} x + 5$ $3 x - 2 y > 4$
224350	Solve the Inequality for x	2x^2+24x<=-8x-120	$2 x^{2} + 24 x \leq - 8 x - 120$
224351	Evaluate	4^(3x-2)=1	$4^{3 x - 2} = 1$
224352	Solve the Inequality for m	(1+m)/9>=1	$\frac{1 + m}{9} \geq 1$
224353	Simplify the Radical Expression	(-8)(2/3)	$(- 8) (\frac{2}{3})$
224354	Simplify	-4/5+3/10	$- \frac{4}{5} + \frac{3}{10}$
224355	Solve the Inequality for x	-2x^2-25x<5x+108	$- 2 x^{2} - 25 x < 5 x + 108$
224356	Find the x and y Intercepts	f(x)=(x+1)/(x(x+3))	$f (x) = \frac{x + 1}{x (x + 3)}$
224357	Solve the System of Equations	-x-2y=11 and -3x-2y=-7	$- x - 2 y = 11$ and $- 3 x - 2 y = - 7$
224358	Simplify	r/( square root of 6r^6)	$\frac{r}{\sqrt{6 r^{6}}}$
224359	Simplify	square root of 72a^3b^4c^5	$\sqrt{72 a^{3}} b^{4} c^{5}$
224360	Evaluate	4^2pi	$4^{2} π$
224361	Simplify	((5a^2b^3)^0)/((10a^3b^2)^-1)	$\frac{{(5 a^{2} b^{3})}^{0}}{{(10 a^{3} b^{2})}^{- 1}}$
224362	Divide Using Long Polynomial Division	Use the long division method to find the result when 16x^3+28x^2+22x+15 is divided by 4x+5	Use the long division method to find the result when $16 x^{3} + 28 x^{2} + 22 x + 15$ is divided by $4 x + 5$
224363	Find the Parabola with Focus (-4,3) and Directrix y=5	(-4,3) y=5	$(- 4, 3)$ $y = 5$
224364	Simplify the Radical Expression	(x^2y^5)^(1/5)	${(x^{2} y^{5})}^{\frac{1}{5}}$
224365	Solve for v	v^2-7v-5=-6v	$v^{2} - 7 v - 5 = - 6 v$
224366	Solve for x	1/4(4^(x-1))+3=12	$\frac{1}{4} (4^{x - 1}) + 3 = 12$
224367	Solve the Inequality for x	-x^2-2>=8x+5	$- x^{2} - 2 \geq 8 x + 5$
224368	Convert to Radical Form	fourth root of p* square root of p^3	$\sqrt[4]{p} \cdot \sqrt{p^{3}}$
224369	Evaluate	5(2-y)+y=-6	$5 (2 - y) + y = - 6$
224370	Solve for x	\|x+2\|+5<=4	$\| x + 2 \| + 5 \leq 4$
224371	Find the Inverse	y=(2x+1)/(x-1)	$y = \frac{2 x + 1}{x - 1}$
224372	Solve for z	(2z-1)/3-(3z+1)/5=1	$\frac{2 z - 1}{3} - \frac{3 z + 1}{5} = 1$
224373	Convert to Radical Form	4(xy)^(1/3)	$4 {(x y)}^{\frac{1}{3}}$
224374	Evaluate	(5-4)/(4^-3)	$\frac{5 - 4}{4^{- 3}}$
224375	Simplify	10 square root of x^15* square root of x^9	$10 \sqrt{x^{15}} \cdot \sqrt{x^{9}}$
224376	Write the Fraction in Simplest Form	1/(2x^2-4x)-2/x	$\frac{1}{2 x^{2} - 4 x} - \frac{2}{x}$
224377	Factor	factor x^2+11x+28	factor $x^{2} + 11 x + 28$
224378	Multiply	((x-y)^2)/(2xy+6y)*(4x+12)/(x^2-y^2)	$\frac{{(x - y)}^{2}}{2 x y + 6 y} \cdot \frac{4 x + 12}{x^{2} - y^{2}}$
224379	Determine the Possible Number of Real Roots	x^3+2x^2+x=0	$x^{3} + 2 x^{2} + x = 0$
224380	Simplify	-9g(-2g+g^2)+3(g^2+4)	$- 9 g (- 2 g + g^{2}) + 3 (g^{2} + 4)$
224381	Simplify	square root of 3/( fourth root of 3)	$\sqrt{\frac{3}{\sqrt[4]{3}}}$
224382	Subtract	3/(7x)-9/x	$\frac{3}{7 x} - \frac{9}{x}$
224383	Divide	((x^2-9x+20)/(x-5))÷((x^2-16)/(x^2+4x))	$\frac{x^{2} - 9 x + 20}{x - 5} \div \frac{x^{2} - 16}{x^{2} + 4 x}$
224384	Find the Roots (Zeros)	x^6+36=100	$x^{6} + 36 = 100$
224385	Solve the Inequality for z	\|3z-9\|<=3	$\| 3 z - 9 \| \leq 3$
224386	Solve for m	3/(m-1)=(2m)/(m+4)	$\frac{3}{m - 1} = \frac{2 m}{m + 4}$
224387	Graph	y = square root of x^3	$y = \sqrt{x^{3}}$
224388	Solve for x	x^(-2/3)+x^(-1/3)-6=0	$x^{- \frac{2}{3}} + x^{- \frac{1}{3}} - 6 = 0$
224389	Multiply	(x^3)(x^-17)	$(x^{3}) (x^{- 17})$
224390	Write in Slope-Intercept Form	(0,3) and (2,5)	$(0, 3)$ and $(2, 5)$
224391	Simplify	4x^2y^3(2x^-4y)	$4 x^{2} y^{3} (2 x^{- 4} y)$
224392	Evaluate	5% of 100	$5 %$ of $100$
224393	Write in y=mx+b Form	(2,-2) and (4,1)	$(2, - 2)$ and $(4, 1)$
224394	Solve for y	square root of 7y+18=y	$\sqrt{7 y + 18} = y$
224395	Simplify	x-16-(3x-2)-10x	$x - 16 - (3 x - 2) - 10 x$
224396	Solve the Inequality for x	4x^2-42-102<0	$4 x^{2} - 42 - 102 < 0$
224397	Evaluate	Find the value of cube root of 216	Find the value of $\sqrt[3]{216}$
224398	Find All Complex Solutions	(x-5)^(1/2)+5=2	${(x - 5)}^{\frac{1}{2}} + 5 = 2$
224399	Find the Roots (Zeros)	x^4-10x^2=-9	$x^{4} - 10 x^{2} = - 9$
224400	Simplify	(5 square root of 3)/2* square root of 3	$\frac{5 \sqrt{3}}{2} \cdot \sqrt{3}$